12624640 has 72 divisors (see below), whose sum is σ = 34584480. Its totient is φ = 4325376.

The previous prime is 12624637. The next prime is 12624641. The reversal of 12624640 is 4642621.

It is not an unprimeable number, because it can be changed into a prime (12624641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8256 + ... + 9664.

It is an arithmetic number, because the mean of its divisors is an integer number (480340).

Almost surely, 2^12624640 is an apocalyptic number.

12624640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292240).

12624640 is an abundant number, since it is smaller than the sum of its proper divisors (21959840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12624640 is an equidigital number, since it uses as much as digits as its factorization.

12624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 12624640 is about 3553.1169415036. The cubic root of 12624640 is about 232.8482621369.

The spelling of 12624640 in words is "twelve million, six hundred twenty-four thousand, six hundred forty".